# uniformly

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**History of mathematics**— A proof from Euclid s Elements, widely considered the most influential textbook of all time.[1] …112

**Probability distribution**— This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density …113

**Stone–Weierstrass theorem**— In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on an interval [ a , b ] can be uniformly approximated as closely as desired by a polynomial function. Because polynomials are the… …114

**Word problem for groups**— In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a recursively presented group G is the algorithmic problem of deciding whether two words represent the same element. Although it… …115

**Central limit theorem**— This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …116

**Infinite monkey theorem**— Not to be confused with Hundredth monkey effect. Given enough time, a hypothetical monkey typing at random would, as part of its output, almost surely produce all of Shakespeare s plays. In this image a chimpanzee is giving it a try. The infinite …117

**Loudspeaker**— For other uses, see Loudspeaker (disambiguation). An inexpensive, low fidelity 3½ inch speaker, typically found in small radios …118

**Fourier series**— Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms …119

**Fatou's lemma**— In mathematics, Fatou s lemma establishes an inequality relating the integral (in the sense of Lebesgue) of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. The lemma is named after the French… …120

**Reverse mathematics**— is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… …